SOLUTION: Given the function f(x)=-2(x+6)²+14 complete the following. Please show all of your work.
(1)If ,fx=14 what is x ?
(2)What point(s) from part (i) are on the graph of f?
(3)Li
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Question 464434: Given the function f(x)=-2(x+6)²+14 complete the following. Please show all of your work.
(1)If ,fx=14 what is x ?
(2)What point(s) from part (i) are on the graph of f?
(3)List the x-intercepts, if any, of the graph of f.
(4)List the y-intercept, if there is one, of the graph of f.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
1.
^2 + 14 = 14)
^2 = 0)
^2 = 0)
2. f(-6) = 14, so (-6, 14).
3. Set f(x) equal to 0:
^2 + 14 = 0)
^2 = 7)
, so x intercepts are )
and )
4. Replace x with 0 to find the y-intercept.
 = -2(0+6)^2 + 14 = -58)
, y-intercept is (0,-58). Note that polynomial functions are defined everywhere so the conditional "if there is one" is meaningless, all polynomial functions will have a y-intercept.
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